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Transcript of Miniaturization of Hvdrowocessina Catalvst Testing System -Sie-1996-AIChE_Journal
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Min ia tu r i za t ion
of
H v d r o w o c e s s i n a C at alv s t
Tes t ing Sys tem s : Theory and Prac t i ce
S.
T.
Sie
Faculty of Chemical Technology an d M aterials Science, Delft Un iversity of Technology,
2628 BL Delft, T he N etherlands
Main factors limiting downscaling of fi ed -b ed integral reactors are discussed, which
operate with a gas stream
or
with gas and liquid i n trickle flow, as used in hydroproc-
essing
of
oil. Criteria developed for a sufjiciently close approach to plug flo w and
for
good contacting
of
the catalyst show th at they can be m et i n very small reactors, both
for processes with reactants in the gas phase and for trickle-flow processes, provided
that the catalyst bed is diluted with fine inert material in the latter case. Experimental
tests show that microreactors with typical catalyst volumes
of 5-10 mL
can be used to
obtain representative results that can very well match data from industrial reactors. It
appears to be feasible to m iniaturize catalytic test reactors jkrthe r to “nanosca1e”reac-
tors with as little as 0.2-0.4 mL
of
catalyst while maintaining th e results to be me an-
ingful. Even though there are advantages as well as limitations, miniaturization can
enhanc e safety and reduce manpower.
Introduction
Miniaturization of equipment has many advantages and can
in some cases even revolutionize fields of technology. Ekam-
ples of drama tic impacts of miniaturization are in the field of
biochemistry where the advent
of
microscale chromato-
graphic separations paper, thin layer, and capillary high-per-
formance liquid chromatography HPLC)) and other mi-
croscale analytical techniques have been crucial to progress
in this field for the last decades, a nd in the field of electronic
computing, where miniaturization is causing a revolution in
information technology.
In the industrial chemical laboratory, too, reducing the
scale of experimentation without detracting from the value of
the results can be quite important, although the conse-
quences of miniaturization may not be as spectacular as in
the cases just cited. The incentives behind downscaling are
manifold, and may include the ones below:
Che aper equipment to construct and install
Fewer materials to consume, store, and dispose of
Fewer demands
on
laboratory infrastructure, including
Intrinsically safer
May promote better, more precise, working practices.
The present article deals with the topic
of
scale reduction
in research on catalytic processes. Catalysis, being a molecu-
lower utility requirements
lar phenomenon, can in principle be studied on a very small
scale. For example, a microgram sample of a compound hav-
ing a molecular weight of 600 consists of as many as about
10’’ molecules, which is more than sufficient for this sample
to be truly representative.
As
a matter
of
fact, fundamental
catalysis studies on single-crystal surfaces equivalent to one
microgram of a practical catalyst often involve minute
amounts of reactants, and these studies are made possible by
the high sensitivity of modern analytical techniques such as
mass spectrometry, gas chromatography, and spectroscopic
techniques that are also based o n molecular phenom ena.
In contrast to these fundamental studies, research and de-
velopment studies on industrial catalytic processes are not
only concerned with understanding the basic chemistry of
these processes but also with relating the information gener-
ated in the laboratory with industrial practice. Since the com -
position of practical feedstocks such as petroleum fractions
may be very complex, and in view of the complicated reaction
networks involved, a fundamental kinetic approach is only
possible in a limited number of cases, notwithstanding the
possibilities offered by modern analytical techniques and
powerful computers. Therefore, there is a need for the ability
to simulate the performance of an industrial reactor in the
laboratory,
3498 December 1996
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Traditionally, the laboratory equivalent of an industrial re-
actor as used in hydroprocesses meters in width and tens of
meters in height) was a pilot plant of much smaller dimen-
sions but still very large according to laboratory standards
e.g., a catalyst bed a few centimeters wide and several me-
ters high). The subject of the present article is the downscal-
ing of this pilot plant to more convenient dimensions while
retaining the validity of the results obtained. The article will
focus on the downsizing of fixed-bed reactors, which are
among th e types of reactors m ost widely used in the pe troleum
industry. Fixed-bed reactors operated with a gaseous stream
of reactant as well as with a com bination of gas and liquid,
namely, trickle-flow reactors, will b e c onsidered.
Downscaling Approach for Continuous-Flow
Fixed-Bed Reactors
For a fixed-bed reactor operated under steady conditions,
the important scaling factors are the dimensions of the cata-
lyst bed and the catalyst particles. To simulate an industrial
reactor generally operated as an integral reactor achieving
practical levels of conversion of the reactant, the laboratory
reactor must also be operated as an integral reactor giving
the same conversion. The approach generally taken is to op-
erate th e laboratory reactor at the same space velocity as the
industrial one. Since at a constant space velocity the linear
velocity of the reactant stream is directly proportional to the
bed length, a reduction of bed length will reduce the linear
velocity and th e Reynolds numb er accordingly
Re=
d p
*
u/q,
in which d p is the particle diameter, the superficial veloc-
ity, and
q
the dynamic viscosity). In principle, this means that
the hydrodynamics in the commercial reactor and the shorter
laboratory reactor will be different.
Hydrodynam ic factors play a crucial role in tha t they affect
the reaction rates in an interactive way with the intrinsic
chemical kinetics, so one cannot reduce the reactor length,
or
at least not by a large factor, without losing representative-
ness of the laboratory reactor. The only dimension that can
be reduced is the reactor width, down to a size where the
wall effect begins to affect results to be discussed later).
These considerations are m ore o r less implied in th e sizing of
the traditional pilot plant for fixed-bed processes: reactor
lengths of 5 to 10 m and reactor diameters of 4 o 10 cm.
Fortunately, however, in most fixed-bed processes of prac-
tical interest, in particular th e widely applied fixed-bed proc-
esses in the petroleum industry, hydrodynamics play a less
important role than chemical kinetics and intraparticle diffu-
sion in determining conversions, In the general situation of
slow or moderately fast reactions occurring over catalyst par -
ticles with effectiveness factors not much below one, the dif-
fusion paths within the catalyst particle are of the order of
the particle radius, while the effective film thicknesses out-
side the particle involved in gas-solid, liquid-solid, or
gas-liquid mass transfer will b e substantially sm aller. This
point is illustrated in Table 1, which gives the relative magni-
tude of the various mass-transfer resistances in a typical case
of trickle-flow hydrotreating. Un der these circumstances, hy-
drodynamics are only
of
importance insofar as they deter-
mine pressure drops, holdups in multiphase flow, and in cer-
tain cases distribution of fluids over the reactor cross section
and heat-transport phenomena.
Table
1.
Relative Mass-Transfer Resistances Estimated for a
Typical Case
of
Gas Oil Hydro desulfurization n Trickle
Flow
Resistance of Total
Negligible
2
21
From bulk gas to
G/L
interface
From G/L interface to bulk liquid
From bulk liquid to ext. cat. surface
Intraparticle diffusion and reaction 77
When the desired function of the laboratory reactor does
not include being representative o n the last-mentione d points,
but is restricted to representativeness in a chemical reaction
sense only, considerable f urth er dow nscaling is possible.
As
a
starting point, one may assume that a well-designed indus-
trial fixed-bed reactor is a close approximation of an ideal
integral rea ctor tha t fulfills the following criteria:
1.
All volume elements of the feed must spend the same
time in the reactor so as to contribute equally to the overall
conversion. In other words, the reactor should be a close ap-
proximation of a plug-flow reactor, which is the type of reac-
tor to be selected for reactions of a positive order.
2.
All
parts of the catalyst bed must contribute maximally
to the overall conversion, implying that all catalyst particles
must be in good contact with the reactant stream.
To be representative
of
an industrial reactor that comes
close to this ideal, the labo ratory reactor must also fulfill these
requirements. Although improper design may give rise to in-
dustrial reactors that p erform m ore poorly, it does not make
much sense to try to mimic a malfunctioning reactor on a
small scale. Therefore, compliance with the preceding re-
quirem ents for an ideal reactor can be used a s a guiding prin-
ciple in downscaling
of
fixed-bed reactors, and in the follow-
ing sections we will examine how far reactor dimensions can
be reduced without violating these requirements.
Limits in Downsizing
of
Fixed-bed Reactors
Deviations from
plug
f tow
The allowable devia-
tion fro m ideal plug flow is determined by what is considered
to be an acceptable difference in conversion rate achieved in
the ideal and the real reactor, and is also a function of the
ord er of the reaction and th e degree of conversion. How much
the residence time distribution in a practical reactor resem-
bles that in an ideal reactor is generally expressed by the
PCclet number (Pe ), a dimensionless number that is numeri-
cally about twice the equivalent number
of
mixers in series.
Fo r a true plug-flow reactor both num bers a re infinitely large.
Mea rs 1971) has derived a relation between Pe , the reac-
tion order
n ,
and the conversion X based on the criterion
that a good practical reactor should require no more than
5 extra catalyst to achieve the sam e conversion as the ideal
one. A similar relation has been proposed by Ge rm an 1988),
which is based on the somewhat less stringent criterion that
the te mp erature requirement for the sam e conversion should
not be higher than theoretical by one degree Centigrade,
which is considered to be t he accuracy
of
temperature defini-
tion in practice. The latter relation, which will be used
throughout this article, can be written as
Allowable D eviation
from
Plug Flow.
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in which
L
is the reactor length,
u
the superficial velocity,
and
D ,
the overall axial dispersion, which is made up from
contributions from axial molecular diffusion, convective dis-
persion in the packing, and macroscopic velocity distributions
in the reactor.
This can be an important cause
of spread in residence time in the reactor, particularly with
gases of high diffusivity and a t low linear velocities low space
velocities and shallow beds). For a rather demanding case,
namely, hydrogen at ambient conditions at a gas hourly space
velocity (GHSV) of 1,000, he minimum bed length needed to
satisfy the criterion of Eq. 1 for a good reactor is shown in
Figure
1 . It
follows that a microreactor with a bed length of
10cm will in most cases be acceptable.
The statistical variations
in
width, length, and direction of individual channels within the
packing result in a dispersion that is characterized by the di-
mensionless Bodenstein number Bo
=
d
*
u/D,, , hich is
analogous to the Ptc let number but has the particle diameter
d f as characteristic dimension.
For axial dispersion in the packing, Eq. 1 can be written as
Axial M olecular Diffusion.
Axial Convectiue Dispersion.
-
- ----
-
n = 2
n = I
-
-___
-
L / d f >
8/Bo)*
n
* In {1/(1- X I ) .
2)
For flow through packed beds
Bo
is a function of Re, and
a global correlation between these dimensionless numb ers has
been established by Gierman
on
the basis of published data
Gierman, 1988). According to this correlation Bo decreases
with decreasing
Re
until an approximately constant value of
about
0.4
is obtained in the range of interest for small labora-
tory reactors. For the axial dispersion of the liquid in trickle
flow, the constant value of Bo is an order of magnitude lower,
or about 0.04. It is of interest to note that for trickle-flow
processes as used in the petroleum industry the dispersion of
the gas phase is generally unimportant, since the gas phase
consists mostly of recycled hydrogen. Consequently, conver-
sion of hydrogen per pass is relatively low and rather unim-
portant, so that only the dispersion of the liquid-oil phase
needs to be considered.
L , c m
12
1
1
10
1
/I
t
85 90 95
100
CONVaKlON ,
o A i
I I 1 I I I
I
Figure
1.
Minimum bed length as a funct ion of conver-
sion for a first- and second-order reactor as
determined by molecular diffusion in flowing
gas.
Hydrogen at 1 bar and
25°C;
G H S V = 1,000 nL/ L.h); =
0.4; I = 2.
3500 December 1996
L.cm
(single phase
f low)
L,cm trickle flow)
5oE
1
85 90 95 100
CONVERSION
,
Figure 2. Minimum bed length as a function of conver-
sion for a first- and second-order reaction as
determined by axial d ispersion n the packing.
Figure 2 presents the minimum bed length calculated ac-
cording to Eq.
2
with the values for B o mentioned earlier, for
beds of particles of 2 mm diameter a typical size for fixed-bed
catalysts). It can be seen that in the case
of
single-phase flow,
for examp le, gas flow, a bed length
of
20 cm as can be accom-
modated in a microreactor is adequate for not too demand-
ing cases conversions not exceeding 90 ). However, for
trickle-flow operation much longer beds are required. For in-
stance, for
90
conversion in the case of a second-order re-
action the minimum b ed len gth of 2 m is required, w hich is in
the range of pilot-plant reactors. Hence, microreactors are
clearly unsuitable for testing catalysts of particle size in the
millimeter range in trickle flow, and pilot-plant reactors se em
indicated.
However, as can also be inferred from Figure 2, from the
point of view of axial dispersion there should be little prob-
lem in testing particles of 0.1 mm diameter in a 20-cm-long
bed in a m icroreactor even for trickle flow. This is one of the
motives behind the catalyst dilution technique to be dis-
cussed later.
Wall Effect and Other Causes of Transverse Macroscopic
Ve-
locity Profiles. In addition to the axial dispersion discussed
earlier, which is an intrinsic characteristic
of
the packing and
which finds its origin in the more or less random variation
of
velocity vectors on the scale of the particle diameter, more
systematic differences in velocities may occur in the flow
through the bed.
A
lateral velocity profile over the reactor
diam ete r may be caused by nonuniform packing uneven
compaction or segregation of particles in the case of a cata-
lyst with a spread in particle size).
Although the preceding lateral velocity profile may be
avoided by careful filling of the reactor, the re is another, more
inherent cause of systematic velocity differences, nam ely, the
wall effect. The packing
of
particles cannot be the same very
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close to the wall of the reactor as the unperturbed packing
farther away from it. Generally, there is a much greater
voidage in the wall region than the average voidage in the
interior of the reactor, as found both experimentally Bena ti
and Brosilow, 1982) and in computer-simulated packings
Zimmerman and Ng, 1986). Th e grea ter permeability in the
wall zone, which tends to enhance the flow in combination
with the flow retardation by the reactor wall, results in a ra-
dial velocity profile with a maximum located one to a few
particle diam eters away from the wall Fahien and Stankovic,
1979; Vortm eyer a nd Sch uster, 1983).
The wall effect gives rise to an appreciable spread in resi-
dence time of the reactant. However, as the ratio between
bed diameter and particle diameter increases, the flow
through
the
wall zone will carry less weight, and at a suffi-
ciently large ratio its effect becomes acceptably small. At a
ratio higher than about 25 the wall effect no longer has a
noticeable effect on the average properties of the bed, for
example, average porosity and average permeability Chu and
Ng, 1989).
Figure 3 shows the relation between the minimum reactor
diameter and the particle diameter with a value of
25
as a
criterion for an acceptably small wall effect. This figure can
also be read as the maximum particle diameter that can be
applied in a reactor of a given diameter. According to this
figure, a fixed-bed catalyst of a practical size in the millime-
ter rang e can only be tested in reactors of several centime ters
width if the effect of the wall is to be minimal. Hence, for
testing catalysts of such a practical size, a pilot-plant reactor
with a diameter of at least 4 cm seems indicated, and a mi-
croreactor with a diameter of
l
crn or less is clearly unsuit-
able. However, with respect to the wall effect there should be
no problem in such a microreactor with much smaller parti-
cles, for example,
0.1
mm diameter, and this is a further rea -
son
for applying the catalyst-bed dilution techn ique t o be dis-
cussed later.
dp,mm
0 1 2 3 4 5 6 7 8
Figure 3. Maximum part ic le size for a given b ed diam e-
ter, as dictated by the cri terion for n egl igible
wall effect.
0
m
Reducing the EfSect of Lateral Flow Profiles by Lateral Difsu
sion. Th e preced ing criterion for negligible wall effect is un-
duly stringent in the specific case that there is a sufficiently
fast exchange of mass between regions of low and high for-
ward velocities. This applies specifically to fixed-bed reactors
operated with gases, which have a relatively high molecular
diffusivity. Fast lateral mass exchange reduces the spread in
residence tim e caused by the lateral velocity profile, a nd the
interaction between axial velocity differences and lateral ex-
change results in a dispersion that can be described by an
axial diffusivity known as the Taylor diffusivity.
Th e length equivalent
to
one mixing stage associated with
the T aylor diffusivity can be w ritten as
in which u is the average interstitial velocity, R the bed ra-
dius, Dradhe diffusivity in the radial direction; is a dimen-
sionless number that characterizes the flow profile. Combin-
ing Eqs.
1
and
3,
one ob tains
in which E is the bed voidage.
The axial dispersion in packings caused by the combined
effects of lateral flow profiles and radial diffusion has been
the subject of many studies in chromatography. Information
obtained in these studies is relevant to the present problem
since the requirements of an ideal packed chromatographic
column, namely, minimal band broadening and adequate
contacting of the solid phase, are identical to those of an
ideal fixed-bed reactor. In studies with packed chromato-
graphic columns it has been found that for columns with a
low ratio of tube diam eter over particle diam eter D/dp <
5 )
the value of is abou t 0.04, which is abou t twice the value of
1/48 for the parabolic Poiseuille profile
of
laminar flow in a
tub e Sie and R ijnders, 1967). Using the value of 0.04 and
assuming the mechanism of radial diffusion to be molecular
diffusion through the bed, we have calculated the maximum
bed diameters for which radial diffusion is effective in wiping
out the effect of the wall. No te that the re is a maximum
limit on the bed diameter, whereas in the absence of fast
radial diffusion, there is a
minimum
diameter for a negligible
wall effect.) From results presented in Figure
4
t can be seen
that with gas as flowing medium there should be no problem
in testing catalyst particles of a practical size in a microreac-
tor of cm diameter, notwithstanding the fact that the diam-
eter ratio may be smaller than 5 .
On
the other hand, the
diffusivity in liquids is too low to rely o n lateral exchange for
effective counteraction of the wall effect in microreactors,
since the maximum bed diameter for this to happen is in the
millimeter range Figure 4).
Measurement of residence-time distribution in microreac-
tors ope rated with gas have confirmed that as a consequence
of fast radial diffusion the contribution of the wall effect to
the residence-time distribution is a relatively minor one. D ata
shown in Table
2
show that this contribution is negligible as
comp ared t o axial molecular diffusion.
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D.cm
Figure 4. Maximum b ed diameters for effect ive cou nter-
act ion of rad ial f low pro f i les by radial di ffu-
sion.
Beds w i th D / d p <
5.
Gas : Hydrogen,
P = 1
bar ;
T =
25°C;
G H S V
=
1,000 nL/ L.h) . Liquid: n-Eicosane. T
=
300°C;
WH SV weight hour ly space veloci ty)= kg/ kg.h). E =
0.4,
r = 2
Catalyst contacting
The second requirement of an ideal reactor, namely, that
all catalyst particles are in good contact with the reactant
stream, will in most cases
of
a single fluid phase be fulfilled if
the first criterion
of a sharp residence time distribution is
met. H owever, in the case of two flowing phases a sh arp resi-
dence-tim e distribution is
no
guara ntee for adequate contact-
ing. In a trickle-bed reactor a situation may prevail where
liquid flows preferentially through a certain part of the bed,
while gas flows mainly through the other part. Such macro-
scopic maldistribution of liquid can be observed in experi-
ments with colored liquids, but can also be simulated with
comp uter models Zimm erman a nd Ng, 1986). This maldistri-
bution, often referred to as incomplete wetting, may be sus-
tained if the force
of
gravity responsible for th e dow nflow of
liquid is much larger than the frictional forces. If the latter
forces predominate, the high pressure drop will force liquid
to flow through every available interstitial channel, and con-
sequently catalyst contacting will be good.
Table 2. Measured Axial Dispersion i n a Microflow Reactor
with Gas Flow*
No. of
Dax Dmo,/T
Packing Pe Mixers cm2/s)
(cm2/s>
Spheres 105 53 0.132 0.137
d , =
1.5
mm,
E = 0.40
d = 1.5 mm
L = 3 m m ,
c =
0.44
Cylinders 97 49 0.143 0.151
L
=
10.2
cm,
=
0.8
cm,
V
=
5
mL. Nitrogen,
P
=
1 bar ,
T
=
25T ,
G H S V
=
450 nL/ L.h) . Trace r : He. Binary dif fus ion coeff icient
of
H e in
N,
=
0.678 cmZ/s, r
=
2 assumed) .
A criterion for adequate wetting or even irrigation of cata-
lyst is the following one proposed by Gierman and Harmsen
Gierman, 1988)
in which
qL
is the dynamic viscosity of the liquid, pL the
liquid density, and g the gravity constant. The dimensionless
constant
W
is the wetting number that compares frictional
and gravitational forces. The numerical value in the preced-
ing equation has been determined on the basis of a large
volume of experimental data , and its order of magnitude can
be rationalized by simple considerations Sie, 1991).
Figure
5
shows the minimum bed length as a function of
particle diameter required to meet the wetting criterion just
given. The figure may also be read as the maximum particle
diameter that can be applied in a bed of a given length. It
can b e seen that, fo r liquid viscosities in the rang e typical for
petroleum fractions under hydroprocessing conditions, a min-
imum length of several meters is required with particles hav-
ing a dia me ter of 2 mm and larger. Hence, for testing of such
catalysts unde r trickle-flow conditions, a relatively large pilot
plant reactor is required a nd a m icroreactor can be ruled out.
However, the figure also shows that with much smaller parti-
cles, for example, 0.2-mm diameter and smaller, the required
bed length for good wetting of th e catalyst is less than
20
cm.
Hence, with such small particles microflow reactors become
eligible for testing catalyst for trickle-flow processes. This
constitutes a third argument for the catalyst dilution tech-
nique to be discussed below.
L
. m
/ I
rl
I I L I I
I
i l l 1 1
0.5 5
10
dp.mm
Figure 5. Minimum bed length for part ic les of varying
size, as dictated by cri terion for even irr iga-
tion.
LHS V l iquid hour ly space veloci ty)
= 1
L/ L.h).
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Catalyst Bed Dilutionwith Fine Particles of
Inert
Material
From the foregoing discussion it transpired that for fixed-
bed processes operated with gas flow, reactors as small as
microreactors about I-cm diameter,
5
to 20-cm bed length)
can be used for testing catalysts of realistic size (1- to 3-mm
diameter). In contrast herewith, relatively large pilot-plant
reactors several meters high, several centime ters dia me ter)
are required for testing such catalysts for trickle-flow proc-
esses.
In principle, one has the option of crushing the industrial
catalyst and testing it in the form of fine particles in small
reactors. How ever, aside from the danger of affecting catalyst
properties by the crushing and sieving operations, the data
obtained with crushed catalyst may not be representative for
industrial practice. If pore-diffusion limitation occurs with the
practical catalyst, the crushed sample will exhibit a higher
activity. But even when the main reaction is not or is only
slightly limited by intraparticle diffusion, other reactions in
complex reaction networks involving a multitude of different
feed molecules may be more seriously limited by pore diffu-
sion. Hence, changing the catalyst particle size can affect not
only the apparent activity of the catalyst, but selectivity and
deactivation behavior as well.
The dilemma
of
wanting to test relatively large industrial
catalyst particles and needing fine particles in small beds for
the hydrodynamic reasons discussed earlier can be solved by
surrounding the catalyst particles with small granules
0.05-0.2-mm diameter) of an inert material. Thus, the hy-
drodynamics of the flowing fluids will be mainly dictated by
the packing of small inert particles, whereas the catalytic con-
1ISp-
l l S f
’*
I I W H S V ,
h
Figure 6. Second order plot for hydrodesulfurization of
a light gas
oil
in trickle flow over undiluted
beds of different lengths.
D =
8
cm. Catalys t : Co/Mo/Alumina, 3-mm ellets.
AXChE
Journal December 1996
version behavior is that of the catalyst in the actual size. The
improvement in plug-flow approac h
of
laboratory trickle-flow
reactors by adopting this catalyst-bed dilution technique has
been demonstrated in experiments with isotopically labeled
oils und er typical hydroprocessing conditions Van Klinken
and van Dongen,
1980).
Another beneficial effect
of
catalyst-
bed dilution is that temperature homogeneity in the bed is
improved and that the chances of temperature runaway are
diminished in th e case of strongly exothermic reactions, esp e-
cially when using inert diluents with high thermal conductiv-
ity, such as silicon carbide or alundum.
The technique of catalyst-bed dilution opens the way to
testing of industrial fixed-bed catalysts in very small labora-
tory reactors, even for trickle-flow processes. This is sup-
ported by th e results of bed-length reduction in gas-oil hydro-
treating experiments, shown in Figures
6
and
7.
From the
data for an
undiluted
bed shown in Figure 6, it can be in-
ferred that shortening of a pilot-plant reactor from 4.8-m
length by a factor of 3 is accompanied by a significant deteri-
oration of the apparent catalyst performance. This can be
understood from the previous discussion, since the length of
the shorter reactor
1.6
m) is below the minimal lengths dic-
tated by acceptable axial dispersion and by catalyst wetting
cf. Figures 2 and
5).
By contrast, reduction of the length of a
diluted
cataIyst bed by a factor
of
2, namely, from
40
cm to
20
cm, does not noticeably affect the test results, as can be in-
ferred from Figure
7.
In addition to supporting the earlier
thesis that extraparticle mass-transfer effects play a minor role
only, these results indicate t hat testing of diluted catalysts for
trickle-flow processes is feasible in microreactors, since the
5
Figure
7.
Second order plot for hydrodesulfurization of
a
gas
oil in trickle flow over diluted beds of
different lengths.
D
=
2 cm. Catalyst: Co/Mo /Alumina, 1.5-mm cylindrical
ex
t rudates . Di luent : 0.2 m m SIC.
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length of the shorter catalyst bed
is
in the range covered by
microreactors. Further evidence for this conclusion will be
presented below.
Table 4. Comparison
of
Microflow and Commercial Results
for
Trickle-FlowHydrodesulfurizationof Gas Oil*
Reac tor Microflow Commercial
Representat iveness
of
Catalyst Test ing in
Microf low Reactors
Fixed-bed processes with reactants in the gas phase
From the previous discussion on th e limiting dimensions
of
lab ora toy fixed-bed reactors it followed that for these proc-
esses microreactors with a bed diameter of about
1
cm and a
bed length between 5 and 20 cm should give results tha t com e
close to those of an ideal reactor, except for the most de-
manding cases conversions very close to 100 ). Such results
should therefore be representative for an industrial process,
assuming that the latter is carried out in a well-designed re-
actor.
Evidence to support this statem ent is presented in Table
3,
which compa res microflow test results o n light paraffin isom-
erization a process with reactants in the gas phase) with data
on the same catalyst and feedstock from a commercial unit.
It can be seen that there is a quite satisfactory agreement
between the two sets of data. It is
of
interest to note that the
catalyst in the form of extrudates of 1.5-mm dia me ter has not
been diluted.
Trickle-flow processes
The suitability of microflow reactors with diluted catalyst
beds for testing of industrial catalysts used in trickle-flow
processes such as hydroprocessing of petroleum fractions is
demonstrated by the data of Table 4,which is a direct com-
parison between microflow test results and commercial oper-
ating data
on
hydrodesulfurization of the same gas oil over
the same catalyst under comparable conditions. In the mi-
croflow test the catalyst bed of 1.2-mm extrudates was di-
luted with 0.05-mm particles of silicon carbide. T he close cor-
respondence between the two sets of data implies that the
data generated in the microreactor test can be considered to
be m eaningful for industrial practice.
Miniatur izat ionof Catalyst Test ing below th e Sc ale
of Microreactors
From the analysis of the limiting geometric factors, pre-
sented in the earlier part of this article, it can be concluded
that th e microreactor scale is not necessarily the sm allest scale
for representative testing of fixed-bed catalysts.
As
follows
Table
3.
Comparison
of
Microflow and Commercial Results
for Isomerization of Light Naphtha over a Ptmordenite
Catalyst (1.5-mm Extrudates)
Rea ctor Microflow Commercial
Catalyst charg e 2.1 g 15.9 t
Isopentane in product, 64.2 63.3
Isohexanes in produ ct, 81.9 84.8
2,2 diMe Butan e in 17.4 19.8
C , ,
yield, wt. 97.8 97.2
RON-0
of
produ ct calc.) 79.6 79.7
of total
C,
o f
total C,
product,
o f
total C,
Catalyst volum e
20 mL
diluted) 122 m3
Sulfur
in
produ ct, wt. 0.075 0.082
Desulfurization 95.4 95.0
Second-order rate constant
23.5
20.9
*Catalys t : Co/Mo/Alumina, 1.2-mm tr i lobe extrudates . D i luent : 0.05 rnm
Sic . Feed: Middle Eas t heavy gas o i l , 1 .64
wt.
S.
Operat ing condi -
t ions WH SV , WA BT weighted average bed tempera ture) , hydrogen/oil ,
par t ial pressures of hydrogen a nd hydroge n sulf ide at reactor inlet ) same
in both cases .
from the earlier analysis, it is in principle possible to reduce
the reactor diameter of about
1
cm typical for a microreac-
tor) down to a few millimeters, while keeping the bed length
about the same. The lower limit is in fact determined by the
requireme nt t hat th e catalyst particles have to be accom mo-
dated in the reactor, for example, for 1.5-mm-dia extrudates
the minimum inner diameter of the reactor may be about 2
mm. This implies a reduction in reactor and catalyst volume
by a factor
of
about
25,
that is, instead of a typical catalyst
volume of
5-10
mL in microflow reactors, the catalyst vol-
ume in the submicro- or “nanoflow” reactor am ounts to as
little as 0.2 to 0.4 mL.
Even on the latter small scale, meaningful test results can
be obtained, as will be demonstrated below.
Fixed-bed processes with reactants in the gas phase
Table
5
presents comparative test data obtained in mi-
croflow and nanoflow reactors for the isomerization of light
paraffins over a catalyst shaped as extrudates of 1.5-mm di-
ameter. The nanoflow test data match the microflow test data
quite well. The latter test data have been shown to be repre-
sentative for catalyst performance under industrial condi-
tions, and by implication this should also be true for the
nanoflow test results.
Figures 8 and 9 compare microflow and nanoflow test re-
sults on t he hydrodesulfurization of the same gas oil over a
catalyst shaped a s 1.5-mm extrudates, d iluted with 0.05-mm
particles of silicon carbide. It can b e seen tha t th ere is a good
match between the data obtained with the two types of reac-
tors, bo th with respect to desulfurization r ate Figure
8)
and
the effect of tem per atu re on desulfurization Figure 9).
Table
5.
Comparison of Microflow and Nanoflow Test
Results for Pen tan epex ane Isomerization*
Rea ctor Microflow Nanoflow
Catalyst charge , g 5 0.2
Isopentane
in
produ ct, 58.3 59.5
of
total pentanes
of total hexanes
product, of total hexanes
Isohexanes in product, 80.7 80.2
2,2 diMeButane
in
16.4 16.5
C 5+ yield, wt.
99.0 98.9
RON-0 of produ ct calc.) 77.8 77.9
*Catalys t : Pt /Mo rdeni te , 1.5-mm extrud ates undi luted) . Fe ed : n-pen -
tane/n-hexane/CycloC, 61/34/5 wt.
76 . T =
260°C; P
=
25 bar ; hydro-
gen/feed
=
1.25 molar ; WHSV
=
1.70.
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/sxp- /s f
.8
2.6
2l4
2.2
4 1
-
-
-
-
-
-
-
-
OMICROFLOW
NANOFLOW
I
I
I I
0.1
0.2 a3
l /WHSV,
h
Figure
8.
Microf low vs. nanof low test resul ts for hydro -
desulfu rizat ion of gas oil in tr ickle f low; effect
of s pace velocity.
Catalyst: Co/Mo/Alumina, 1.5-mm cylindrical extrudates.
Di luent : 0.05
mm
S i c .
x = 0.84.
Since it has been shown that microflow test data can be
representative for industrial operation, it follows from the
preceding comparison that nanoflow test data, too, can be
meaningful for industrial practice. This statement is substan-
tiated by Table 6, where such test data on hydrodesulfuriza-
tion of a gas oil over a catalyst shaped as 1.5-mm extrudates
are directly compared with data from a commercial hydro-
desulfurization unit.
Potential errors in catalyst sampling
Proper sampling from a catalyst batch composed of non-
identical catalyst particles is obviously important for obtain-
ing meaningful results. To obtain representative samples
of
such an inhomogeneous catalyst batch for testing in labora-
tory reactors ranging from pilot plants to microreactors, the
well-known procedures for sampling
of
solid granular mate-
rial have to be adhered to. However, with a catalyst sample
as small as that to be tested in nanoflow reactors, an addi-
tional problem may arise due to the small number of parti-
cles.
A
catalyst sample of 0.3 g, consisting of 1.5-mm-dia. and
4-mm-long extrudates will typically consist of about
40
parti-
cles, and at this small number the law of statistics has to be
considered, Figure 10presents the calculated standard devia-
tions for a random sampling from a mixture of two catalysts
A and B ) that differ in activity by
a
factor k,/k,. Assuming
that a standard deviation below 5 is acceptable, it can be
seen that there is no problem when the sample size consists
AIChE Journal December 1996
l n
301
1.58
1.60 1.62
1.64
10001T.
K-1
Figure
9.
Microf lo w vs. nanof iow test results for hydro-
desulfu rizat ion of g as oi l in tr ickle f low; effect
of
temperature.
Catalys t and di luent as s t a t ed und er Figure 8.
of 10,000 particles, as long as the sampling is nonselective.
However, at a sample size corresponding with
20
particles,
the standard deviation may be above
5
when the activity
ratio is larger than a bout 1.5 and when the less active catalyst
constitutes a major proportion of the mixture. If the less ac-
tive catalyst is a minor component of the mix,
for
example,
lo ,
the standard deviation remains below the set limit of
5 , even at a very large activity ratio.
The latter situation may occur in practice because a batch
of catalyst can be contaminated with a small amount of less
active or even inert material. In such a situation, the limited
number of particles
in
the test sample does not necessarily
pose a problem, as long as the sampling is done in a nonse-
lective manner.
Table
6.
Comparison of Nanoflow Test Results with Data of
Commercial Operation on Hydrodesulfurizationof Gas Oil*
Rea ctor Nanoflow Commercial
Catalyst charge 0.228g + diluent) 33.5 t
Sulfur in product, wt. 0.155
0.144
Desulfurization
80.5 81.9
2.1-Order rate constant 22 24
*Catalys t : Co/Mo /Alumina, 1.5-mm t r i lobe extrudates . Di luent : 0.05 m m
S i c . F eed : G as o i l
162-415 C, 0.794
wt.
S.
Condit ions
WHSV,
WABT, hydrogen/oi l and par t ial pressures of hydrogen and hydrogen
sulf ide at reactor
inlet)
s am e
for
t he two cases.
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STANDARD DEVlATlON
IN 6
2l
1 1.2 1.4 1.6 1.8 2.o
Figure 10. Sampl ing errors f rom a catalys t mix ture
composed of two com ponents hav ing d i f fer-
ent activit ies, for samples cons is t ing of N
part ic les.
UI
kA kB
How ever, when ther e is a large activity difference and when
the less active material is abundant the statistical error may
be unacceptably large for small samples. Fortunately, this is
not a situation of much practical interest since such an inho-
mogeneous catalyst is obviously not an optimal one and there
is hardly a reason to try and assess the perform ance
of
such a
poor batch of catalyst with great accuracy.
Implementation and Consequences
of
Small-Scale
Catalyst Testing
The increased possibilities of catalyst testing on a smaller
scale tha n considered feasible in the past, and the advan tages
attached to experiments on a small scale, have led to a grad-
ual replacemen t of the traditional large pilot plants by smaller
units. This can be seen from Table 7, which compares the
distributions of reactor units of varying size in a n oil-process
R & D laboratory in 1970 and 1987. It can be seen that dur-
ing the intervening period bench-scale and microflow units
have taken over many of the tasks formerly reserved for larger
pilot plants. In more recent years, microflow tests are being
widely applied, not only in exploratory studies where in the
screening of new catalysts and unconventional feedstocks the
small sample sizes are very importan t, but also in the process
research and development studies on more established proc-
esses. In addition to the previously cited processes, namely,
paraffin isomerization and hydrotreating of distillates, mi-
Table
7.
Distribution
of
Number
of
Reactor Units*
Year 1970 1987
Microflow z
0.01
L) 13 50
Bench Scale
= 0.1
L)
20
38
Pilot Plant > 1 L) 67 12
Unattended
units
13 94
*At
the
oil process R &
D
Department of the Koninklijke/Shell Labora-
torium, Amsterdam in of total).
3506
December
1996
croflow reactors play an important role in research and de-
velopment on most hydrocarbon-conversion processes, in-
cluding catalytic reformin g Sie and Blau who ff, 19911, hydro-
cracking Van D ijk et al., 1991), and even hydrodemetalliza-
tion and hydroconversion of residual oils Oelde rik et al.,
1989). Th e use of m icroflow reactors is no t restricted to sim-
ple once-through experiments in isothermally operated reac-
tors, since on this scale accurate simulation
of
adiabatic oper-
ation h as proven feasible Sie and B lauwh off, 19911, as well
as simulation of a hydrocracker with on-line fractionation and
recycle of fractionator bottoms Van Dijk et al., 1991).
Driving forces behind this trend have been the improved
research a nd dev elopment efficiency resulting from savings
in
costs, materials, and personnel, as well as the enhancement
of safety and environm ental friendliness of the operation. T he
savings in materials in moving from pilot plant to microreac-
tor testing can be illustrated by comparing the feed require-
ments of these two reactor units for a typical case of gas-oil
hydrotreating: whereas the pilot plant consumes monthly
amounts of oil and hydrogen gas that have to be supplied on
a periodic basis by tank cars and tube trailers, the microflow
needs in a similar period can be covered by a jerry can of oil
and a few gas bottles. In th e pilot-plant case, the storage and
disposal of the large amount of unused products may also
constitute a logistic problem with environmental aspects.
The enhanced intrinsic safety resulting from miniaturiza-
tion may be illustrated by the m aximum hazards of a nanoflow
reactor. When working with flammable gases or liquids, flow
rates are
so
small that they can only sustain a flame com para-
ble in size to that of a small candle. Working with synthesis
gas, the small flow rate may give rise to an emission of toxic
carbon monoxide that is of the order
of
that from a burning
cigarette. The maximum release of compressed gas from the
reactor inventory upon mechanical failure would be less than
from a pu nctu red bicycle tire and if this gas is explosiv e, its
detonating power can be compared with that of a small fire-
cracker. Hence, many of the safety systems mandatory in the
case of larger reactors fire detectors, flammable a nd toxic-gas
detectors, special ventilation, etc.) can be simplified or even
dispensed with.
Th e higher intrinsic safety of smaller reactor units makes it
easier to automate these units and to allow them to operate
around the clock withput human attention. The increase in
automation, which has accompanied the size reduction of the
reactor units in the period 1970-1987, is clearly shown in
Table 7, where the percentage of unattended units is seen to
increase from 13 to 94.
The increase in research productivity resulting from cata-
lyst testing on a smaller scale is illustrated by Figure 11. It
can be inferred tha t the more m odern, autom ated microreac-
tor unit operating without human attention requires an ord er
of magnitude less manpower than the traditional large pilot
plant it has replaced.
Concluding Remarks
It has been shown that microflow and even smaller reac-
tors can be used not only in fundamental kinetic studies with
powdered catalysts, but also for testing practical fixed-bed
hydroprocessing catalysts under industrially relevant condi-
tions, that is, with catalysts in their actual shape and size,
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MANHOUR PER REACTOR HOUR
21
M
ICROFLOW
automated 1
\
\
1960 I910 1980 1990
Moo
YEAR
Figure 11. Manpower needs of different reactor units as
a function of the approximate introduction
year for general use in oil process research.
with practical feedstocks, and at conditions
of
space velocity,
temperature, and pressure that are comparable to those in
practice, yielding data that can match those of commercial
operation. This applies not only to fixed beds operated with a
stream of gas, but equally to fixed beds operated with liquid
and gas as trickle-bed reactors, provided the catalyst bed is
diluted with fine inert material. This experimentally verified
conclusion
is
supported by a theoretical analysis
of
the fac-
tors that limit the downscaling possibility of fixed-bed reac-
tors.
These small reactors can now be used for generating cat-
alytic performance data that some 25 years ago had to be
done in large fixed-bed pilot plants, at only a fraction of the
costs, materials usage, and personnel need associated with
the operation of the large pilot plants. Hence, for many cat-
alytic process studies there is no nee d for the traditional large
pilot plant any more. Nevertheless, cases will remain where
experiments on a large scale cannot be avoided, for example,
when large quantities
of
a new product are needed for mar-
ket development in anticipation of commercial production. A
large pilot plant is also needed when hydrodynamic factors
play a crucial role in determining t he chem ical conversions of
a catalytic process or when m echanical/physical features, such
as fouling of the bed by particulate matter, are important.
Another reason for a large and complex integrated pilot plant
is when the process configuration is complex and involves
separation steps and recycles of streams that cannot be
miniaturized in a representative way.
For the evolution in catalyst testing systems, where minia-
turization is increasingly offering capabilities at lower costs
but cannot make large pilot plants totally redundant, an anal-
ogy
can be drawn with the evolution in computing: while mi-
crocomputers are finding an ever increasing role, it is still
necessary to make use of mainframe and even supercomput-
ers in special applications.
Acknowledgment
The author gratefully acknowledges the valuable contributions to
this work of his former coworkers at the Koninklijkefihell-Labora-
torium Amsterdam, where most of the work was carried out. He is
particularly indebted to Messrs J. Glezer and
A.
F. de Vries for their
role in the development of the nanoflow equipment and
in
the exe-
cution of the comparative tests.
Notation
Dmol
molecular diffusivity,
m2.s-’
or cm2.s-1
E
=activation energy, kJ.mol-’
k
= reaction-rate constant
P =pressure, bar
Sf
=sulfur content in feed, wt.
S p
=sulfur content in product, wt.
T =temperature, degrees Centigrade
V
=catalyst bed volume, m3 or L
=kinematic viscosity, m2.s-l
T = ortuosity factor
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AIChE Journal
December
1996 Vol.
42,
No. 12
3507